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Finding the Fourth Proportional to 11,461.67, 17,212.31 and 6,810.89

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Solution

The fourth proportional to 11,461.67, 17,212.31 and 6,810.89 is: 10,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.67 : 17,212.31 = 6,810.89 : x
  2. Step 2: Convert to fraction form
    11,461.67/17,212.31 = 6,810.89/x
  3. Step 3: Cross multiply
    11,461.67x = 17,212.31 × 6,810.89
  4. Step 4: Simplify right side
    11,461.67x = 117,231,116.00
  5. Step 5: Solve for x
    x = 117,231,116.00/11,461.67
  6. Step 6: Final answer
    x = 10,228.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.